The phrase "bids fair" means to have a good chance of achieving something. There are several synonyms to replace this phrase such as "looks promising", "is likely", "appears to be on track", "offers hope", "show signs of", "seems destined", "has potential", "hints at", "point towards", and "shows potential". Each of these options conveys a different degree of certainty, with some expressing more confidence than others. Depending on the context, any of these synonyms can effectively convey the idea that something is likely to succeed or manifest in a positive way.